Nonlinear Optimization Approaches For Training Neural Networks
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Nonlinear Optimization Approaches for Training Neural Networks
This book examines how nonlinear optimization techniques can be applied to training and testing neural networks. It includes both well-known and recently-developed network training methods including deterministic nonlinear optimization methods, stochastic nonlinear optimization methods, and advanced training schemes which combine both deterministic and stochastic components. The convergence analysis and convergence proofs of these techniques are presented as well as real applications of neural networks in areas such as pattern classification, bioinformatics, biomedicine, and finance. Nonlinear optimization methods are applied extensively in the design of training protocols for artificial neural networks used in industry and academia. Such techniques allow for the implementation of dynamic unsupervised neural network training without requiring the fine tuning of several heuristic parameters. "Nonlinear Optimization Approaches for Training Neural Networks" is a response to the growing demand for innovations in this area of research. This monograph presents a wide range of approaches to neural networks training providing theoretical justification for network behavior based on the theory of nonlinear optimization. It presents training algorithms, and theoretical results on their convergence and implementations through pseudocode. This approach offers the reader an explanation of the performance of the various methods, and a better understanding of the individual characteristics of the various methods, their differences/advantages and interrelationships. This improved perspective allows the reader to choose the best network training method without spending too much effort configuring highly sensitive heuristic parameters. This book can serve as an excellent guide for researchers, graduate students, and lecturers interested in the development of neural networks and their training.
Nonlinear System Identification
This book provides engineers and scientists in academia and industry with a thorough understanding of the underlying principles of nonlinear system identification. It equips them to apply the models and methods discussed to real problems with confidence, while also making them aware of potential difficulties that may arise in practice. Moreover, the book is self-contained, requiring only a basic grasp of matrix algebra, signals and systems, and statistics. Accordingly, it can also serve as an introduction to linear system identification, and provides a practical overview of the major optimization methods used in engineering. The focus is on gaining an intuitive understanding of the subject and the practical application of the techniques discussed. The book is not written in a theorem/proof style; instead, the mathematics is kept to a minimum, and the ideas covered are illustrated with numerous figures, examples, and real-world applications. In the past, nonlinear system identification was a field characterized by a variety of ad-hoc approaches, each applicable only to a very limited class of systems. With the advent of neural networks, fuzzy models, Gaussian process models, and modern structure optimization techniques, a much broader class of systems can now be handled. Although one major aspect of nonlinear systems is that virtually every one is unique, tools have since been developed that allow each approach to be applied to a wide variety of systems.
Nonlinear System Identification
Author: Oliver Nelles
language: en
Publisher: Springer Science & Business Media
Release Date: 2001
Written from an engineering point of view, this book covers the most common and important approaches for the identification of nonlinear static and dynamic systems. The book also provides the reader with the necessary background on optimization techniques, making it fully self-contained. The new edition includes exercises.